On the nonnegative inverse eigenvalue problem of traditional matrices

Journal of Linear and Topological Algebra

مقاله 6، دوره 02، شماره 03، آذر 2013، صفحه 167-174   

نویسندگان

A. M. Nazari^* ؛ S. Kamali Maher

Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran

چکیده

In this paper, at first for a given set of real or complex numbers $\sigma$ with nonnegative summation, we introduce some special conditions that with them there is no nonnegative tridiagonal matrix in which $\sigma$ is its spectrum. In continue we present some conditions for existence such nonnegative tridiagonal matrices.

کلیدواژه‌ها

Inverse eigenvalue problem؛ Tridiagonal matrix؛ Nonnegative matrix

مراجع

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